Let an ellipse x^2 a^2 + y^2 b^2 = 1, a < b, pass through the point (4, 3) and have eccentricity 5 3 . Then the length of its latus rectum is:

JEE Main 2026 Mathematics question

Let an ellipse , a < b, pass through the point (4, 3) and have eccentricity . Then the length of its latus rectum is:

Answer: (D)

With a < b, a² = b²(1 − e²) = 4b²/9. Passing through (4, 3): 16·9/(4b²)

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-015194